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Discrete Symmetries of the n-Wave Problem
Authors:Leznov  A. N.
Affiliation:(1) Universidad Autonóma del Estado de Morelos, CCICAp, Cuernavaca, Morelos, Mexico;(2) Institute for High Energy Physics, Protvino, Moscow Oblast, Russia;(3) Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
Abstract:
We show that discrete symmetries T of multicomponent integrable systems have a fine structure and can be represented as products of positive integer powers of pairwise commuting basis discrete transformations Ti. The calculations are completed for the n-wave problem.
Keywords:integrable mappings and chains  discrete transformations  Darboux transformation  higher-dimensional integrable systems
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